[tex] [\frac{3}{2}-0,(6)]:( \frac{1}{2}+\frac{1}{3} +\frac{1}{4}+\frac{1}{5})= \\ \\ =[\frac{3}{2}-\frac{6}{9}]:( \frac{30}{60}+\frac{20}{60} +\frac{15}{60}+\frac{12}{60})= \\ \\ =[\frac{3}{2}-\frac{2}{3}]:( \frac{30+20+15+12}{60})= \\ \\ =[\frac{9}{6}-\frac{4}{6}]:\frac{77}{60}= \\ \\ =\frac{5}{6} *\frac{60}{77}= \\ \\ \frac{5 * 10}{77}= \frac{50}{77}[/tex]
